1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Len [333]
2 years ago
15

For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne

w equation, find x if the point P(x, 4) lies on the new line. y=3x-1 y=1/4 x+2
Mathematics
1 answer:
SVEN [57.7K]2 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-4}x\\ 4=-4x\\x=-1

You might be interested in
What is 7 /14 + 7/ 28 in simplest terms?
jasenka [17]
Its 3/4
hope i helped
8 0
3 years ago
Pls help im new to this and i could use a little help on this problem tysm if you do!!:)<33
Verizon [17]

Answer:

HOOO YOU SHOULD KNO THIS!!!

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
This one is super confusing i will give extra points
kondaur [170]

Answer:

volume=12m

Step-by-step explanation:

width*length*height=volume

4m=width

3m=height

4m*3m=12m

12m=volume

8 0
3 years ago
Which table of ordered pairs represents a proportional relationship?
bogdanovich [222]

Answer:

Third table

Step-by-step explanation:

For the relationship to be proportional

y/x = constant

First table y/x = 8/4 = 2    then 7/11 doesn't =2  so it is not

Second table y/x =52/5 = 5    then 49/7 doesn't =5  so it is not

Third table y/x = 3/6=1/2    then 5/10 = 1/2   then 7/14 = 1/2  it is proportional

Last table y/x = 6/3 = 2    then 11/8 doesn't =2  so it is not

7 0
2 years ago
Solve for the missing side in the following right triangle: hypotenuse = 17, leg = 8, leg = ?.
krek1111 [17]
Hyp^2 = leg1^2 + leg2^2
hyp^2  -leg1^2 = leg2^2
17^2 - 8^2 = leg2^2
leg2^2 = 289 -64
leg2^2 = 225
leg2 = 15



7 0
3 years ago
Other questions:
  • Walgreens is offered a chain discount on cosmetics from Libby Corp. of 8/5/2; Roma Company offers a chain discount of 7/6/4. Wha
    13·1 answer
  • I will mark as brainliest but I need the answer for these 2 questions
    9·1 answer
  • Circle is divided into 20 equal parts. What is the angle measure of three of those parts?
    13·1 answer
  • The table shows information about all students doing GCSE's at a school.
    6·1 answer
  • Which type of angle is Angle A B C?
    11·1 answer
  • Simplify (1/a)^3. I don't get it?
    10·1 answer
  • Give the coordinate of the point halfway between 2,1 and 2,4
    12·1 answer
  • 90 students take a test.
    11·1 answer
  • Please help me with my work and I’ll give brainlessly
    9·2 answers
  • PLEASE HELP ME WITH THIS!!! ILL GIVE BRAINIEST!!! HURRY PLEASE!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!